The article explores the advancements in hydrogen purification through Pressure Swing Adsorption (PSA) technology, focusing on the use of traditional adsorbents like activated carbon and zeolite. Researchers have been investigating the dynamics of adsorption and thermal effects of these adsorbents in purifying gas mixtures with high hydrogen concentrations. Studies have compared the purification performances of different materials, revealing varying affinities towards gases like CO2, CH4, and CO. The development of layered beds in PSA processes has shown improved performance by optimizing selectivity and efficiency. Material-Organic Frameworks (MOFs), known for their ultrahigh surface areas and absorptive sites, have emerged as promising materials in hydrogen purification. Research on MOFs like CuBTC demonstrates their superior selectivity for carbons and high adsorption capacity for hydrogen. Incorporating activated carbon with MOFs has been found to enhance adsorptive properties and provide cost-effective solutions for hydrogen separation. Studies on MOF structure and ternary gas mixtures show the potential for increased porosity to enhance adsorption capacity. Overall, the research showcases the continuous progress in hydrogen purification technologies, emphasizing the efficiency and potential of PSA methods in industrial applications.